Regular approximations of spectra of singular second-order symmetric linear difference equations

被引：6

作者：

Liu, Yan ^{[1
]}

Shi, Yuming ^{[1
]}

机构：

[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2014年 / 444卷

关键词：

Symmetric linear difference equation; Self-adjoint subspace extension; Regular approximation; Spectral inclusion; Spectral exactness; SELF-ADJOINT EXTENSIONS; EIGENFUNCTION-EXPANSIONS; EIGENVALUES; CONVERGENCE; INCLUSION; EXACTNESS; OPERATORS;

D O I：

10.1016/j.laa.2013.11.023

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper is concerned with regular approximations of spectra of singular second-order symmetric linear difference equations. For any given self-adjoint subspace extension of the corresponding minimal subspace, its spectrum can be approximated by eigen-values of a sequence of regular self-adjoint subspace extensions generated by the same difference expression on smaller finite intervals. (C) 2013 Elsevier Inc. All rights reserved.

引用

页码：183 / 210

页数：28

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